Math Problem Statement

  • what was sample size for our class - what is the mean age for our class - what is the median age for our class - what are the quartile ages - what is the standard deviation for our class ages
What was the sample size for our class? What is the mean age for our class? What is the median age for our class? What are the quartile ages? What is the standard deviation for our class ages?

Solution

From the image you uploaded, here is the relevant information for your class statistics:

  1. Sample size: The sample size for your class is 105.
  2. Mean age: The mean age for your class is 29.3 (rounded to 2 decimal places).
  3. Median age: The median age for your class is 30.0 (rounded to 1 decimal place).
  4. Quartile ages:
    • Q1 (First Quartile): 21.0 (rounded to 1 decimal)
    • Q3 (Third Quartile): 34.5 (rounded to 1 decimal)
  5. Standard deviation: The standard deviation for the ages in your class is 11.18 (rounded to 2 decimals).

Would you like further details or clarifications on any of these? Here are some related questions for further exploration:

  1. How is the standard deviation affected by outliers?
  2. What does the interquartile range tell us about the spread of ages?
  3. How could you interpret the skewness of the age distribution from these statistics?
  4. If the sample size increases, how would that impact the mean and standard deviation?
  5. Why might the median be more representative than the mean in certain cases?

Tip: Quartiles are helpful for understanding the spread and skewness of the data. When the first quartile (Q1) and third quartile (Q3) are far apart, it indicates a wider spread in the middle 50% of the data.

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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Mean
Median
Quartiles
Standard Deviation

Formulas

Mean: (Σx) / n
Median: The middle value when ordered
Standard Deviation: sqrt(Σ(x - mean)^2 / n)

Theorems

Empirical Rule
Quartile Calculation

Suitable Grade Level

College Level (Statistics)